Skip to contentSkip to Braille Studio

Library / Mathematics / The Number "e" / Braille

The Number "e" ⠃⠗⠋ braille edition

Grade 1 — uncontracted, letter-for-letter. Translated on this server by our own braille engine (BRF — Braille Ready Format, Library of Congress fdd000551). View Grade 2 instead.

Download .brf — Grade 2 Download .brf — Grade 1 Plain-text reader .txt

108,096 braille cells · 201 embossed pages at 40×25 · 2 unrepresentable characters omitted

⠋⠀⠀
⠼⠙⠓⠉⠃⠊⠓⠃⠃⠊⠊⠋⠁⠋⠛⠃⠁⠛⠚⠓⠚⠁⠑⠋⠓⠚⠁⠚⠓⠚⠛⠊⠊⠛⠛⠛⠁⠃⠋⠑
⠁⠀⠀
⠼⠛⠁⠑⠋⠃⠛⠙⠃⠊⠑⠛⠋⠉⠋⠋⠋⠊⠑⠊⠋⠋⠁⠊⠓⠉⠑⠚⠛⠙⠉⠑⠋⠋⠛⠁⠉⠃⠃⠁
⠓⠀⠀
⠼⠉⠓⠉⠉⠑⠓⠑⠚⠊⠑⠉⠋⠋⠋⠑⠓⠚⠋⠋⠚⠑⠑⠊⠛⠁⠙⠓⠉⠛⠋⠛⠛⠉⠓⠋⠋⠊⠃⠃
⠑⠀⠀
⠼⠑⠁⠋⠚⠉⠙⠋⠉⠋⠙⠙⠉⠓⠋⠃⠋⠊⠊⠛⠛⠃⠊⠑⠛⠑⠚⠋⠑⠓⠙⠋⠓⠊⠃⠊⠑⠊⠊⠓
⠚⠀⠀
⠼⠊⠁⠋⠓⠊⠙⠊⠊⠓⠁⠓⠊⠓⠑⠓⠓⠑⠃⠊⠑⠉⠛⠓⠛⠙⠙⠓⠊⠑⠁⠊⠑⠃⠛⠚⠊⠛⠛⠋
⠋⠀⠀
⠼⠃⠋⠃⠋⠓⠙⠁⠛⠛⠚⠓⠓⠑⠊⠚⠃⠓⠙⠉⠃⠁⠋⠛⠋⠉⠑⠃⠁⠉⠃⠋⠉⠚⠓⠉⠓⠓⠁⠃
⠛⠀⠀
⠼⠋⠋⠉⠉⠑⠉⠋⠉⠉⠁⠊⠚⠚⠙⠁⠉⠙⠉⠉⠃⠓⠙⠙⠉⠙⠛⠋⠉⠚⠚⠋⠛⠊⠓⠃⠚⠃⠉⠛
⠁⠀⠀
⠼⠋⠊⠉⠉⠋⠑⠉⠋⠑⠃⠓⠓⠚⠑⠓⠚⠁⠑⠋⠉⠊⠚⠉⠋⠚⠑⠋⠃⠛⠃⠃⠛⠑⠃⠁⠓⠛⠃⠛
⠃⠀⠀
⠼⠙⠑⠙⠛⠋⠙⠃⠑⠓⠓⠙⠚⠊⠊⠑⠃⠁⠋⠙⠓⠃⠑⠑⠙⠙⠑⠉⠋⠋⠃⠚⠓⠉⠓⠁⠁⠛⠓⠊
⠁⠀⠀
⠼⠁⠛⠛⠃⠑⠃⠃⠑⠋⠓⠃⠋⠁⠁⠙⠛⠓⠚⠁⠙⠃⠙⠃⠓⠊⠋⠊⠛⠚⠊⠋⠛⠁⠃⠁⠊⠋⠛⠑
⠚⠀⠀
⠼⠃⠚⠊⠙⠙⠃⠁⠃⠃⠋⠃⠛⠊⠙⠉⠛⠚⠛⠉⠉⠃⠓⠛⠚⠉⠙⠁⠚⠋⠙⠋⠉⠁⠃⠁⠚⠚⠑⠑
⠛⠀⠀
⠼⠉⠛⠋⠛⠃⠛⠙⠑⠚⠃⠛⠁⠋⠉⠓⠊⠛⠑⠃⠉⠙⠁⠁⠁⠙⠃⠋⠃⠓⠛⠓⠃⠓⠛⠉⠋⠛⠑⠓
⠉⠀⠀

These are the same pages the .brf download embosses — form-feed breaks and all. BRF opens in braille software (Duxbury, BrailleBlaster), on embossers, and on refreshable displays.